For curves in a torus bundle, the weighted sum of tropical edge directions equals the Chern classes of the bundle line bundles evaluated on the curve's base class.
Tropical algebraic geometry
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abstract
Tropical algebraic geometry is an active new field of mathematics that establishes and studies some very general principles to translate algebro-geometric problems into purely combinatorial ones. This expository paper gives an introduction to these new techniques with a special emphasis on the recent applications to problems in enumerative geometry.
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Tropical geometry in torus bundles
For curves in a torus bundle, the weighted sum of tropical edge directions equals the Chern classes of the bundle line bundles evaluated on the curve's base class.